Question

What's that process called where you form new group law by $x \star y = x \cdot a \cdot y$ for some $a$ in the group?

score 115 · Answer 1 · 2026-04-14 23:58:21

115

Views

What's that process called where you form new group law by $x \star y = x \cdot a \cdot y$ for some $a$ in the group?

Published on 14 Apr 2026 - 23:58

score 48 · Answer 2 · 2026-04-11 20:34:02

48

Views

Is such a condition possible for the provided group?

Published on 11 Apr 2026 - 20:34

score 246 · Answer 3 · 2026-04-16 05:41:36

246

Views

Can this equation be solved by radicals? $x^6+x^5+2x^4-2x^3-x^2+1=0$

Published on 16 Apr 2026 - 5:41

score 344 · Answer 4 · 2026-04-15 19:46:31

344

Views

If $\forall x \in G$ where G is a group $x=x^{-1}$ then how is this group abelian?

Published on 15 Apr 2026 - 19:46

score 72 · Answer 5 · 2026-04-29 12:44:32

72

Views

When flat submodule is direct summand?

Published on 29 Apr 2026 - 12:44

score 135 · Answer 6 · 2026-04-13 22:04:05

135

Views

Showing a group is abelian of order $\det(M)$

Published on 13 Apr 2026 - 22:04

score 417 · Answer 7 · 2026-05-10 19:38:33

417

Views

Prove that $\sum_{a\in A} φ(a)=0$ where $A$ is finite Abelian group.

Published on 10 May 2026 - 19:38

score 84 · Answer 8 · 2026-04-15 22:15:56

84

Views

Order of an arbitrary (finite) product of subgroups $|N_1\cdots N_k|$

Published on 15 Apr 2026 - 22:15

score 423 · Answer 9 · 2026-05-10 21:14:39

423

Views

Show that the infinite cyclic group is not isomorphic to a direct product of two nontrivial cyclic groups.

Published on 10 May 2026 - 21:14

score 39 · Answer 10 · 2026-04-15 22:22:12

39

Views

Fields with the property $\Bbb{F}^\times / \{1, -1\}$ is isomorphic to a subgroup of $\Bbb{F}^\times$.

Published on 15 Apr 2026 - 22:22

score 254 · Answer 11 · 2026-05-10 13:26:24

254

Views

A set of generators is a $\mathbb{Z}-$basis for a free abelian group

Published on 10 May 2026 - 13:26

score 74 · Answer 12 · 2026-04-16 16:03:35

74

Views

Prove that $f(N)$ is a direct summand

Published on 16 Apr 2026 - 16:03

score 1.7k · Answer 13 · 2026-04-13 18:27:06

1.7k

Views

Finite abelian group generated by two elements

Published on 13 Apr 2026 - 18:27

score 281 · Answer 14 · 2026-04-06 03:53:47

281

Views

Nonabelian group of order 95

Published on 06 Apr 2026 - 3:53

score 111 · Answer 15 · 2026-05-10 15:50:53

111

Views

When abelian subgroup is direct summand?

Published on 10 May 2026 - 15:50

List Question

What's that process called where you form new group law by $x \star y = x \cdot a \cdot y$ for some $a$ in the group?

Is such a condition possible for the provided group?

Can this equation be solved by radicals? $x^6+x^5+2x^4-2x^3-x^2+1=0$

If $\forall x \in G$ where G is a group $x=x^{-1}$ then how is this group abelian?

When flat submodule is direct summand?

Showing a group is abelian of order $\det(M)$

Prove that $\sum_{a\in A} φ(a)=0$ where $A$ is finite Abelian group.

Order of an arbitrary (finite) product of subgroups $|N_1\cdots N_k|$

Show that the infinite cyclic group is not isomorphic to a direct product of two nontrivial cyclic groups.

Fields with the property $\Bbb{F}^\times / \{1, -1\}$ is isomorphic to a subgroup of $\Bbb{F}^\times$.

A set of generators is a $\mathbb{Z}-$basis for a free abelian group

Prove that $f(N)$ is a direct summand

Finite abelian group generated by two elements

Nonabelian group of order 95

When abelian subgroup is direct summand?

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